You have dropped your cell phone behind a very long bookcase and cannot reach it from either the top or the sides. You decide to get the phone out by elastically colliding a set of keys with it so that both will slide out. If the mass of the cell phone is 0.111 kg, the key rings mass is 0.020 kg, and each keys mass is 0.023 kg, what is the minimum number of keys you need on the ring so that both the keys and the cell phone will come out on the same side of the bookcase? If your key ring has five keys on it and the velocity is 1.21 m/s when it hits the cell phone, what are the final velocities of the cell phone and key ring? Assume the collision is one-dimensional and elastic, and neglect friction.
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